The number 70140

Q: Is 70140 a prime number?

No. 70140 = 2^2 × 3 × 5 × 7 × 167, so it is divisible by 2.

70140 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 167. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 70140.

Number

Pick any whole number from 1 to 100,000.

70140 = 2^{2} \times 3 \times 5 \times 7 \times 167

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How to work it out

1
What is special about 70140: a Harshad number: divisible by its digit sum 12.
2
70140 is composite. Its prime factorisation is
$70140 = 2^{2} \times 3 \times 5 \times 7 \times 167$
3
The divisors add up to 225792; without 70140 itself that is 155652, so 70140 is abundant (155652 is more than 70140). Euler's totient φ(70140) = 15936 numbers up to 70140 share no factor with it.
4
The digits of 70140 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page

\[ 70140 = 2^{2} \times 3 \times 5 \times 7 \times 167 \]

70140 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	225792
Euler totient φ(n)	15936
Square	4919619600
Cube	345062118744000
Square root	264.839574 (= 2√17535)
Digit sum / digital root	12 / 3
Collatz steps to 1	68
Scientific notation	7.014 × $10^{4}$

70140 in other forms

Form	Value
In words	seventy thousand one hundred and forty
Binary (base 2)	10001000111111100
Octal (base 8)	210774
Hexadecimal (base 16)	111FC
Base 3	10120012210
As time	70140 seconds = 19 h 29 min 0 s

Is 70140 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (70140 ÷ 2 = 35070)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (70140 ÷ 3 = 23380)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (70140 ÷ 4 = 17535)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (70140 ÷ 5 = 14028)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (70140 ÷ 6 = 11690)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (70140 ÷ 7 = 10020)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (70140 ÷ 10 = 7014)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 4)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (70140 ÷ 12 = 5845)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70140 a prime number?

No. 70140 = $2^{2}$ × 3 × 5 × 7 × 167, so it is divisible by 2.

What are the factors of 70140?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 167, 210, 334, 420, 501, 668, 835, 1002, 1169, 1670, 2004, 2338, 2505, 3340, 3507, 4676, 5010, 5845, 7014, 10020, 11690, 14028, 17535, 23380, 35070, 70140.

What is 70140 in binary?

10001000111111100 (hexadecimal 111FC, octal 210774).

What is the square root of 70140?

About 264.8396, exactly 2√17535.

Is 70140 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 70140?

70140 is a Harshad number: divisible by its digit sum 12.